Divide Fractions unit test

1. Simplify the following fractions and express the answer in its simplest form:

a) 3/6
b) 7/14
c) 4/8

2. Divide the following fractions:
a) 1/3 ÷ 2/4
b) 5/8 ÷ 2/5
c) 2/5 ÷ 4/10

3. Solve the following word problems involving division of fractions:
a) If Maria has 3/4 of a pie and wants to share it equally among herself and 2 friends, how much of the pie will each person get?
b) If a recipe calls for 2/3 cup of flour and you want to make 2/5 of the recipe, how much flour do you need?
c) If a piece of wood is 5/6 meters long and you need to cut it into pieces that are each 1/4 meters long, how many pieces can you make?

4. Divide the following mixed numbers:
a) 2 1/2 ÷ 1/4
b) 3 3/4 ÷ 2 1/3
c) 4 2/3 ÷ 1 1/2

5. Find the reciprocal of the following fractions and then divide:
a) 2/3 ÷ 5/6
b) 3/4 ÷ 4/5
c) 7/8 ÷ 2/7

6. Solve the following division of fractions problems using cross multiplication method:
a) 3/5 ÷ 2/3
b) 4/9 ÷ 5/6
c) 7/11 ÷ 3/4

7. A recipe calls for 1/2 cup of sugar and 1/3 cup of flour. If you want to make 3/4 of the recipe, how much sugar and flour do you need in total?